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2. Moving-knife procedure - Wikipedia

   en.wikipedia.org/wiki/Moving-knife_procedure

   The canonical example is the division of a cake using a knife. [ 1 ] The simplest example is a moving-knife equivalent of the " I cut, you choose " scheme, first described by A.K.Austin as a prelude to his own procedure : [ 2 ]

3. Fair cake-cutting - Wikipedia

   en.wikipedia.org/wiki/Fair_cake-cutting

   A procedure by Aziz and Mackenzie (2016) [7] finds an envy-free division for n people in a bounded number of queries. The negative result in the general case is much weaker than in the connected case. All we know is that every algorithm for envy-free division must use at least Ω(n 2) queries. There is a large gap between this result and the ...

4. Brams–Taylor procedure - Wikipedia

   en.wikipedia.org/wiki/Brams–Taylor_procedure

   It explicated the first finite procedure to produce an envy-free division of a cake among any positive integer number of players. [1] However, the procedure's runtime is not bounded by any function of the number of players, it can take an arbitrarily long (but always finite) time, depending on the valuation functions.

5. Division (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Division_(mathematics)

   In abstract algebra, given a magma with binary operation ∗ (which could nominally be termed multiplication), left division of b by a (written a \ b) is typically defined as the solution x to the equation a ∗ x = b, if this exists and is unique. Similarly, right division of b by a (written b / a) is the solution y to the equation y ∗ a = b ...

6. Standings (sports) - Wikipedia

   en.wikipedia.org/wiki/Standings_(sports)

   A partial view of the Green Monster at Fenway Park, with standings for the American League East division at the end of the 2007 Major League Baseball season. In sports, standings, rankings, or league tables group teams of a particular league, conference, or division in a chart based on how well each is doing in a particular season of a sports league or competition.

7. Table of divisors - Wikipedia

   en.wikipedia.org/wiki/Table_of_divisors

   The tables below list all of the divisors of the numbers 1 to 1000. A divisor of an integer n is an integer m, for which n/m is again an integer (which is necessarily also a divisor of n). For example, 3 is a divisor of 21, since 21/7 = 3 (and therefore 7 is also a divisor of 21). If m is a divisor of n, then so is −m. The tables below only ...

8. Simmons–Su protocols - Wikipedia

   en.wikipedia.org/wiki/Simmons–Su_protocols

   Although these are different selections, they are incompatible. section 4 of [10] proves that an envy-free division to two partners with disjoint pieces might be impossible if m = k = 2, but is always possible if m = 2 and k = 3 (i.e. at least one cake is divided to three pieces, each partner receives a single piece from each cake, and at least ...

9. Divided differences - Wikipedia

   en.wikipedia.org/wiki/Divided_differences

   In mathematics, divided differences is an algorithm, historically used for computing tables of logarithms and trigonometric functions. [citation needed] Charles Babbage's difference engine, an early mechanical calculator, was designed to use this algorithm in its operation. [1] Divided differences is a recursive division process.